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Chapter 8: Q.94 (page 483)

If you decreased the allowable error bound, why would the minimum sample size increase (keeping the same level of

confidence)?

Short Answer

Expert verified

Two factors other than the crucial value , Za/2 can be used to change the error bound calculation.

Step by step solution

01

Introduction

Two factors other than the crucial value, Za/2can be used to change the error bound calculation.

02

Explanation

Because n is in the denominator, it should be increased in order to lower the error bound for the maximum value allowed.

so,

Two factors other than the crucial value, Za/2can be used to change the error bound calculation

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Most popular questions from this chapter

The population standard deviation for the height of high school basketball players is three inches. If we want to be 95% confident that the sample mean height is within one inch of the true population mean height, how many randomly selected students must be surveyed?

Table 8.2shows a different random sampling of 20cell phone models. Use this data to calculate a 93% confidence interval for the true mean SAR for cellphones certified for use in the United States. As previously, assume that the population standard deviation is σ= 0.337.

Phone ModelSAR Phone ModelSAR
Blackberry pearl81201.48
Nokia E71x1.53
HTC Evo Design 4G0.8
Nokia N750.68
HTC Freestyle1.15
Nokia N791.4
LG Ally1.36
Sagem Puma1.24
LG Fathom0.77
Samsung Fascinate0.57
LG Optimus Vu0.462
Samsung Infuse 4G
0.2
Motorola Cliq XT1.36
Samsung Nexus S0.51
Motorola Droid pro1.39
Samsung Replenish0.3
Motorola Droid Razr M1.3
Sony W518a walkman0.73
Nokia 7705Twist0.7
ZTE C79 0.869

The data in the Table are the result of a random survey of 39national flags (with replacement between picks) from various countries. We are interested in finding a confidence interval for the true mean number of colors on a national flag. Let X=the number of colors on a national flag.

xFreq.11273184756

Calculate the following:

(a) x¯=_____

(b) sx=_____

(c) n=_____

Using the same mean, standard deviation, and sample size, how would the error bound change if the confidence level were reduced to 90%? Why?

Using the same p′ and n = 80, how would the error bound change if the confidence level were increased to 98%? Why?
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